Diassociativity in Conjugacy Closed Loops

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题名:	Diassociativity in Conjugacy Closed Loops
作者:	Michael K. Kinyon ; Kenneth Kunen ; J. D. Phillips
关键词:	Conjugacy closed loop ; Diassociative ; Power associative ; Weak inverse property ; Holomorph
刊名:	Communications in Algebra
发表日期:	2004
卷:	32, 期:2, 页:767 - 786
收录类别:	其他
合作性质:	其它
摘要:	Let Q be a conjugacy closed loop, and N(Q) its nucleus. Then Z(N(Q)) contains all associators of elements of Q. If in addition Q is diassociative (i.e., an extra loop), then all these associators have order 2. If Q is power-associative and \|Q\| is finite and relatively prime to 6, then Q is a group. If Q is a finite non-associative extra loop, then 16 ∣ \|Q\|.
语种:	英语
内容类型:	期刊论文
URI标识:	http://ir.iscas.ac.cn/handle/311060/1337
Appears in Collections:	软件所图书馆_期刊论文

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Recommended Citation:

Michael K. Kinyon,Kenneth Kunen,J. D. Phillips. Diassociativity in Conjugacy Closed Loops[J]. Communications in Algebra,2004-01-01,32(2):767 - 786.

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